Overpartitions and class numbers of binary quadratic forms
Number Theory
2007-12-06 v1 Combinatorics
Abstract
We show that the Zagier-Eisenstein series shares its non-holomorphic part with certain weak Maass forms whose holomorphic parts are generating functions for overpartition rank differences. This has a number of consequences, including exact formulas, asymptotics, and congruences for the rank differences as well as -series identities of the mock theta type.
Cite
@article{arxiv.0712.0631,
title = {Overpartitions and class numbers of binary quadratic forms},
author = {Kathrin Bringmann and Jeremy Lovejoy},
journal= {arXiv preprint arXiv:0712.0631},
year = {2007}
}
Comments
9 pages